Least Common Multiple of 883 and 891

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 883 and 891 the smallest integer that is 786753 that is divisible by both numbers.

Least Common Multiple (LCM) of 883 and 891 is 786753.

LCM(883,891) = 786753

LCM of 883 and 891

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 883 and 891

LCM of 883 and 891 is 786753

Least common multiple can be found by multiplying the highest exponent prime factors of 883 and 891. First we will calculate the prime factors of 883 and 891.

Prime Factorization of 883


883 883
1

Prime factors of 883 are 883. Prime factorization of 883 in exponential form is:

883 = 8831

Prime Factorization of 891


3 891
3 297
3 99
3 33
11 11
1

Prime factors of 891 are 3,11. Prime factorization of 891 in exponential form is:

891 = 34×111

Now multiplying the highest exponent prime factors to calculate the LCM of 883 and 891.

LCM(883,891) = 34×111×8831
LCM(883,891) = 786753

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1, 883

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Least Common Multiple of 883 and 891 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 883 and 891, than apply into the LCM equation.

GCF(883,891) = 1
LCM(883,891) = ( 883 × 891) / 1
LCM(883,891) = 786753 / 1
LCM(883,891) = 786753

Properties of LCM 883 and 891

(i) The LCM of 891 and 883 is associative

LCM of 883 and 891 = LCM of 891 and 883

Related Least Common Multiples of 883

Related Least Common Multiples of 891

Frequently Asked Questions on LCM of 883 and 891

1. What is the LCM of 883 and 891?

Answer: LCM of 883 and 891 is 786753.

2. What are the Factors of 883?

Answer: Factors of 883 are 1, 883. There are 2 integers that are factors of 883. The greatest factor of 883 is 883.

3. What are the Factors of 891?

Answer: Factors of 891 are 1, 3, 9, 11, 27, 33, 81, 99, 297, 891. There are 10 integers that are factors of 891. The greatest factor of 891 is 891.

4. How to Find the LCM of 883 and 891?

Answer:

Least Common Multiple of 883 and 891 = 786753

Step 1: Find the prime factorization of 883

883 = 883

Step 2: Find the prime factorization of 891

891 = 3 x 3 x 3 x 3 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 786753 = 3 x 3 x 3 x 3 x 11 x 883

Step 4: Therefore, the least common multiple of 883 and 891 is 786753.